In present book there are carried out analytic investigations of point and spatial stochastic processes with application to modern problems of fracture mechanics, traffic flow, semiconductors, biology, genetics. It is developed model of nonlinear kinematic waves treatment in various branches of sciences, using also similar on form graphs for main two parameters of different media, as semiconductors, traffic flow, fracture mechanics. Analytic methods of expansion of solution on plane waves are more thoroughly developed. Using also universal experimental curves, same by form, are investigated by same methods, as for semiconductors, spatial stochastic processes of phase transition for traffic flow to bottleneck and for transition from chaotic grow and motion of micro-pores to formation of macro-fracture. Also stochastic point problems are salved for fracture mechanics.